Relationship between magnetic moment and induced magnetism

[CrazyNeutrino]

How would you calculate the induced magnetic field B at some distance R from a bar magnet, given the magnetic moment of a magnet? (In general)

 

[kuruman]

How would you calculate the induced magnetic field B ...

I suppose you mean the magnetic induction B. You can use the magnetic dipole equation
https://en.wikipedia.org/wiki/Magnetic_dipole

 

[Charles Link]

This homework posting might be helpful: https://www.physicsforums.com/threads/magnetic-field-of-a-ferromagnetic-cylinder.863066/ See, in particular, post 4 of this "link".